Finding the Third Proportional to 103,699 and 222,099

Step by Step Solution

1. Step 1: Write the proportion equation
   103,699 : 222,099 = 222,099 : x
2. Step 2: Convert to fraction form
   103,699/222,099 = 222,099/x
3. Step 3: Cross multiply
   103,699x = 222,099 × 222,099
4. Step 4: Simplify right side
   103,699x = 49,327,965,801
5. Step 5: Solve for x
   x = 49,327,965,801/103,699
6. Step 6: Final answer
   x = 475,684.10